Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error
:
fpc = 
We know that N = 250 n = 91, replacing:
fpc = 
fpc = 0.799
Now, the formula would then be:
SE =
*fpc
Now replacing, knowing that p = 0.12
SE=
*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
Answer:
-3/2
Explanation:
Slopes of perpendicular lines are opposite reciprocals, which means you flip them and switch them from positive to negative, or the other way around.
Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)
Answer:

Step-by-step explanation:
The given polynomial equation is

We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of

This means the polynomial equation becomes:

We factor the quadratic term by splitting the middle term;


Collect common factors again:

The solution is:

Answer:
x = 22°
the angles are: 63° and 117°
Step-by-step explanation:
a linear pair of angles total together to be 180°
so:
3x - 3 + 5x + 7 = 180
combune like terms:
8x = 176
divide both sides of the equation by 8:
x = 22°
the angles are: 63° and 117°